The y-genus of the moduli space of PGLn-Higgs bundles on a curve (for degree coprime to n)
Abstract
Building on our previous joint work with A. Schmitt [7] we explain a recursive algorithm to determine the cohomology of moduli spaces of Higgs bundles on any given curve (in the coprime situation). As an application of the method we compute the y-genus of the space of PGLn-Higgs bundles for any rank n, confirming a conjecture of T. Hausel.
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